10
algebra

A cell phone plan includes 2000 text messages per month. After sending 1450 messages, which inequality represents the number of messages tt that can still be sent?

A

t≤550t \leq 550

B

t≥550t \geq 550

C

t≤3450t \leq 3450

D

t+1450≥2000t + 1450 \geq 2000

Correct Answer: A

Choice A is the correct answer. Resource limit problems model remaining capacity after partial use.

  1. Total limit: 2000 messages maximum
  2. Already used: 1450 messages
  3. Remaining: t+1450≤2000t + 1450 \leq 2000
  4. Solve: t≤2000−1450=550t \leq 2000 - 1450 = 550

?�� Strategic Tip: "Remaining" or "left over" problems subtract what's used from the total limit.

Choice B is incorrect because≥550\geq 550 would mean sending at least 550 more, which could exceed the 2000 limit. Choice C is incorrect because it adds 1450 and 2000 instead of subtracting. Choice D is incorrect because while the setup is close, using ≥\geq reverses the constraint logic.

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Linear Functions Set 64